Find Two Integers Whose Sum Is -5 And Product Is -36

Find two integers whose sum is -5 and product is -36

 

Answer:

-4 and 9

Step-by-step explanation:

Find two integers whose sum is -5 and product is -36

let x be the first integer

    y be the second integer

x + y = -5       (eq 1)

x × y = -36      (eq 2)

solve for x and y

from eq 2

x = -36 / y     (eq 3)

substitute eq 3 to eq 1

(-36/y) + y = -5

multiply both sides by y

-36 + y² = -5y

y² + 5y -36 = 0

(y + 9) (y - 4) = 0

y = -9          or y = 4

if y = -9      

x = (-36/-9) = 4

if y = 4

x = (-36/4) = -9

Therefore, the integers are -4 and 9


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